Answer to Question #319636 in Trigonometry for Sizzy

Question

Evaluate:

sin 30⁰ cos 45⁰ − cos 30 ⁰ sin 45⁰

Answer 1

sin 30⁰ cos 45⁰ − cos 30 ⁰ sin 45⁰$=\frac{1}{2}*\frac{\sqrt{2}}{2}-\frac{\sqrt{3}}{2}*\frac{\sqrt{2}}{2}=-\frac{\sqrt{2}(\sqrt{3}-1)}{4}.$